Answer:
The value of AM = 43
Step-by-step explanation:
As point M is the midpoint of AB, so
AB = AM + BMAM = BMGiven
AB = 8x - 50
AM = 2x + 9
so substituting AB = 8x - 50 and AM = 2x + 9 in the equation AB = AM + BM
AB = AM + BM
8x - 50 = 2x + 9 + BM
8x - 2x - 50 - 9 = BM
6x - 50 = BM
Thus,
BM = 6x - 59
As
AM = BM
so substituting AM = 2x + 9 and BM = 6x - 59 in the equation AM = BM
2x + 9 = 6x - 59
switch sides
6x - 59 = 2x + 9
subtract 2x from both sides
6x - 2x - 59 = 2x + 9 - 2x
4x - 59 = 9
add 59 to both sides
4x - 59 + 59 = 9 + 59
4x = 68
divide both sides by 4
4x/4 = 68/4
x = 17
Thus, the value of x = 17
Therefore, the value of AM will be:
AM = 2x + 9 = 2(17) + 9 = 34 + 9 = 43
Hence, the value of AM = 43
Verification:
AM = BM
2x + 9 = 6x - 59
2(17) + 9 = 6(17) - 59
34 + 9 = 102 - 59
43 = 43
and
AB = 8x - 50 = 8(17) - 50 = 86
Could somebody please help me with these?? It's due tomarrow
Example for Table 1:
y = x + 6
So if X=-8
1st Row -8+6=-2
2nd Row -4+6=2
3rd Row -2+ 6=4
4th Row -9+6=-3
5th Row 2+6=8
So for any table, the X in the table rule is the X that you are working on.
Answer:
i got you:
1) -2, 2, 4, -3, 8
2) 37, -3, 29, -67, -75
3) -36, 4, -4, -20, -12
4) -10, 6, -4, 8, 4
5) -2, 18, -16, 6, -10
6) -4, -15, 2, 0, -6
7) -25, 23, 5, 29, 11
8) 24, 38, -60, 3, 10
9) 2, 4, 9, -1, -3
10) -14, -8, -15, -10, -16
11) 9, 18, -21, -3, -24
12) -10, 35, -73, 71, -19
hope that helps
Step-by-step explanation:
(2a-3)(b-a)-3a(3a+b)
Answer: -ab - 11a^2 - 3b + 3a
Step-by-step explanation:
i think this is what you're wanting? if not just comment what you need and i'll retry it!
what is the exact value of cos(7pi/8)
Answer:
cos ([tex]\frac{7\pi}{8}[/tex]) = [tex]-\frac{\sqrt{2+\sqrt{2}}}{2}[/tex]
Decimal value: −0.9238795325...
Step-by-step explanation:
Write,
cos [tex]\frac{7\pi}{8}[/tex] = cos [tex](\pi-\frac{\pi}{8})[/tex] = −cos [tex]\frac{\pi }{8}[/tex]
Now using half angle formula, cos(x) = 2 cos²([tex]\frac{\pi }{2}[/tex]) − 1, we can write cos [tex]\frac{\pi }{4}[/tex] = 2
cos²([tex]\frac{\pi }{8}[/tex]) − 1
This means [tex]\frac{1}{\sqrt{2}}[/tex] + 1 = 2 cos²([tex]\frac{\pi }{8}[/tex])
2 cos²([tex]\frac{\pi }{8}[/tex]) = [tex]\frac{\sqrt{2}+1}{\sqrt{2}}[/tex]
cos²([tex]\frac{\pi }{8}[/tex]) = [tex]\frac{\sqrt{2}+1}{2\sqrt{2}}[/tex]
cos([tex]\frac{\pi }{8}[/tex]) = [tex]\sqrt{\frac{\sqrt{2}+1}{2\sqrt{2}}}[/tex]
Simplify,
[tex]\sqrt{\frac{\sqrt{2}+1}{2\sqrt{2}}}[/tex] = [tex]\sqrt{\frac{2+\sqrt{2}}{4}[/tex] = [tex]\frac{\sqrt{2+\sqrt{2}}}{2}[/tex]
Hence,
cos ([tex]\frac{7\pi}{8}[/tex]) = −cos ([tex]\frac{\pi }{8}[/tex]) = [tex]-\frac{\sqrt{2+\sqrt{2}}}{2}[/tex]
The exact value of cos(7pi/8) is [tex]\rm -\dfrac{\sqrt{2+\sqrt{2}} }{2 }[/tex] and this can be determined by using the trigonometric properties.
Given :
Expression -- [tex]\rm cos(\dfrac{7\pi}{8})[/tex]
The following steps can be used to determine the exact value of the given expression:
Step 1 - Write the given expression.
[tex]=\rm cos(\dfrac{7\pi}{8})[/tex]
Step 2 - Rewrite the above expression.
[tex]= \rm cos(\dfrac{8\pi - \pi}{8})[/tex]
Step 3 - The above expression is reduced to:
[tex]= \rm -cos(\dfrac{ \pi}{8})[/tex] --- (1)
Step 4 - According to the trigonometric properties:
[tex]\rm cos(x) = 2 cos^2(\frac{x}{2})-1[/tex]
Step 5 - Substitute the value of x = [tex]\pi[/tex]/4 in the above expression.
[tex]\rm cos(\frac{\pi}{4}) = 2 cos^2(\frac{\pi}{8})-1[/tex]
Step 6 - Simplify the above expression.
[tex]\rm cos(\frac{\pi}{8})=\sqrt{\dfrac{\dfrac{1}{\sqrt{2}} +1}{2}}[/tex]
[tex]\rm cos(\frac{\pi}{8})=\sqrt{\dfrac{1+\sqrt{2} }{2\sqrt{2} }[/tex]
[tex]\rm cos(\frac{\pi}{8})=\dfrac{\sqrt{2+\sqrt{2}} }{2 }[/tex]
Step 7 - Substitute the value of cos([tex]\pi[/tex]/8) in the expression (1).
[tex]\rm -cos(\frac{\pi}{8})=-\dfrac{\sqrt{2+\sqrt{2}} }{2 }[/tex]
For more information, refer to the link given below:
https://brainly.com/question/17081568
What is this? Someone please help me
Answer and Step-by-step explanation:
Haven't done this in a while, so here we go:
The rule (I'm not really sure) would have to be negative number and negative number.
This means that:
(4, 0) would become (-4, 0) A'
(6, -2) becomes (-6, 2) B'
(8, -7) becomes (-8, 7) C'
and (0, -5) becomes (0, 5) D'
#teamtrees #WAP (Water And Plant)
If triangles ADE and ABC shown in the figure below are similar, what is the value of X?
A) 4
B) 5
C) 6
D) 10
Answer: pretty sure it’s 6 because of its giving you an x to solve and there is a number across from it you multiply that number by 0.5
Step-by-step explanation:
and 0.5 x 12 is 6
The measure of the side length of the triangle is 6. Then the correct option is C.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
If the two triangles are similar, the ratio of the corresponding sides will be constant.
If triangles ADE and ABC shown in the figure below are similar.
From the figure, we have
x / 12 = 2 / 4
x = 6
Then the correct option is C.
The complete question is attached below.
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ2
8+ (10-7)
in word form
Answer:
eight plus the answer to 10 minus 7
Step-by-step explanation:
theres no explanation really.
Answer:
Eleven
Step-by-step explanation:
8+( 10-7)
8+ ( 3)
8+3
11
The reason why we don't multiply 8 by 3 is because the parenthesis is multiplying a plus sign not 8
24 Ft
8 feet
10 Ft
18 Ft
6 feet
14 Ft
CLEAR ALL
A sign broke during a storm The diagram shows how it fell. What was the original
height of the sign?
Answer:
18 ft I'm pretty sure if not then I dunno
simple 9th grade math
Answer:
-1078
Step-by-step explanation:
To find the nth term in an arithmetic sequence we use the following formula
aₙ=a₁+(n-1)*d
Where a₁ is the first time, and d is the common difference (in this case -20)
So we have
2+(55-1)*-20
2+(54)*-20
2-1080
-1078
Find the Pythagorean Triple (a,b,c) using the terms (x²-y², 2xy, x²+y²) for x > y > 0 when x = 8 and y = 5.
Answer:
(39,80,89)
Step-by-step explanation:
A Pythagorean triple is one that consists of three positive integers a, b and c such that;
a² + b² = c²
In this case;
The terms are: (x²-y², 2xy, x²+y²) where x > y > 0 where x=8 and y=5
The terms are : x²-y² = 8²-5² = 64-25 = 39
: 2xy = 2*8*5 =16*5 = 80
: x²+y²= 8²+5²=64+25 = 89
Applying the Pythagorean triple;
a² + b² = c²
39² + 80² = 89²
Plssss some help me with my homework
Answer:
a = 8
Step-by-step explanation:
Pythagoras
hypotenuse² = Attitude ² + Base²
10² = a² + 6²
100 = a² +36
change side ; a² = 100-36
a² = 64
a = √64
a = 8 (Positive number only. not minus number)
so a = 8
hope it helps ☺️
what is the rate unit for 1700 meters in 40 minutes
please help
Answer:
42.5m/s
Step-by-step explanation:
Divide by 40
What is the value of g?
___°
Answer:
31 degrees
Step-by-step explanation:
Answer:
31 Degrees
Step-by-step explanation:
Since this is a right angle, it will equal 90 degrees.
Take 90 and subtract 59 to get g.
g = 31 degrees
Is this correct??????
Answer:
yes it is great job
Step-by-step explanation:
The slope and Y-Intercept for y=-x+2
Answer:
1 and 2
Step-by-step explanation:
slope is 1
y intercept is 2
basically base it off the equation y = mx + b
the m is the slope, but since in this case there is no number before x, you just put 1, since 1 times x is just x and thats why its left out
the b is the y intercept, so in this case its 2
A farming community begins with one resident. Then every year, the number of residents multiplies by 10 Write an expression using an exponent to
represent the number of residents in the community after 5 years
Answer:
After 10 years , the number of residents in the community = 100,007.45
Step-by-step explanation:
Let P be the population of a farming community.
As we know that,
Exponential Growth model is :
P(t) = P₀[tex]e^{kt}[/tex] ........(1)
where P₀ is the initial state , k is the growth constant.
As given,
A farming community begins with one resident.
⇒At t = 0 , P(t) = 1
∴ Put t = 0 in equation (1), we get
1 = P₀[tex]e^{0}[/tex]
⇒1 = P₀
∴ equation (1) becomes
P(t) = [tex]e^{kt}[/tex] ......(2)
As given, every year, the number of residents multiplies by 10
⇒At t = 1 , P(t) = 10
∴ Put t = 1 in equation (2), we get
10 = [tex]e^{k}[/tex]
Taking ln both side we get
ln(10) = ln([tex]e^{k}[/tex] )
⇒2.3026 = k
∴ equation (2) becomes
P(t) = [tex]e^{2.3026t }[/tex]
Now, we have to find the population at t = 5
⇒P(5) = [tex]e^{5(2.3026} = e^{11.513} = 100,007.45[/tex]
So, we get
After 10 years , the number of residents in the community = 100,007.45
Solve for x
7x = 2
Give your answer as a fraction in its simplest form
Answer:
2/7
Step-by-step explanation:
7x/7=2/7
Simplify:Cancel terms that are both the numerator and denominator
Solution: 2/7
What is the value of the expression "eight more than three times the difference of four and a number" when n =
3?
□44
□19
□17
□11
Answer:
11
Step-by-step explanation:
3 (4 - n) + 8
When n = 3:
3 (4 - 3) + 8
3 (1) + 8
3 + 8
11
Answer:
11
Step-by-step explanation:
which of these operations should be completed first.…
Answer:
brackets
Step-by-step explanation:
Ya ave to use BIDMAS nd the B in BIDMAS stands for brackets
If 10x−8y=2 and −7x−y=5 are true equations, what would be the value of−17x+7y?
Answer: 2.951
x = -0.576
y = -0.97
-17x + 7y
= -17(-0.573) + 7(-0.97)
= 2.951
Walker earns the same amount of money each month for allowance his Xbox Live Gold subscription is 1/5 of his monthly earnings and he pays a total of $132 each year for his subscription how much does Walker earn each month in dollars
A. $11
B. $26.50
C. $55
D. $660
There is a different one like this but it doesn’t have the answer so plz help and this is my 2 try
Answer:
it's c
Step-by-step explanation:
4 times 10 times 6 is 240 and you use volume because its by 3 values.
hope this helped!
Which triangles are similar?
A. 12 6
B. 8 16
C. 8 4
D. 3 6
Answer:
Step-by-step explanation:
Given the vertex (2,0) and the point on the parabola (1, 3) find the quadratic equation
Answer:
[tex]y=3(x-2)^2[/tex]
Step-by-step explanation:
The vertex form of the quadratic function has the following equation:
[tex]y=a(x-h)^2+k[/tex]
Where (h, k) is the vertex of the parabola, and a is a coefficient different from zero.
We are given the vertex located at (2,0). The equation is now:
[tex]y=a(x-2)^2+0[/tex]
[tex]y=a(x-2)^2[/tex]
Since we know the point (1,3) is on the parabola:
[tex]3=a(1-2)^2[/tex]
3=a(1)
a = 3
Finally, the quadratic equation is:
[tex]\mathbf{y=3(x-2)^2}[/tex]
someone pls help me with math
Answer:
4x/5-2
Step-by-step explanation:
What the answer to this plz help
Answer:
9
Step-by-step explanation:
120 cm
B
Which pairs of rectangles are similar polygons?
Select Similar or Not Similar for each pair of rectangles.
90 cm
105 cm
А
C
100 cm
Similar
Not Similar
80 cm
A and B
75 cm
B and C
A and
Answer: a and b only are similar
Step-by-step explanation:
Ad/ab= de/bc similar triangles have proportional sides
Answer:
The true answer below
Step-by-step explanation:
−2(x + 9) + 25 = 14 − 3x
(step by step pls)
Answer:
-2x+18+25=14-3x
collect like terms
-2x+3x=14-25-18
x=29
Witch of the following tables represents a proportional relationships?
Answer:
C
Step-by-step explanation:
The relationship is y = 3x
Answer:
I think the answer is C because 0×3=0, 2×3=6, 4×3=12, 6×3=18.
what is 6.1 - 18.7 ?
Answer:
-12.6
Step-by-step explanation:
Answer:
12.6 this is the answer
Step-by-step explanation:
sporting get up in subtracting numbers
Need help with these 2 questions pls help me will mark brainiest.
Answer:
Q2. CQ3. AStep-by-step explanation:
Q2
Given is the horizontal line x = 2It has zero slope as vertical change (rise) is zeroCorrect option is CQ3
The line is proportional relationship y = kx
Using point (8, 40), we can find the value of k:
40 = 8kk = 40/8k = 5Roland earns $5 per hour
Correct option is A